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The problem involves determining the unit rate of calories per cup and then finding the total calories in 4 cups of cereal.

Given:
- There are **87 calories** in a **\( \frac{3}{4} \)**-cup serving.

### Step 1: Find the unit rate of calories per cup.
To find the unit rate (calories per cup), we need to divide the total calories by the number of cups in the serving:

\[
\text{Unit rate} = \frac{87}{\frac{3}{4}} = 87 \times \frac{4}{3} = \frac{348}{3} = 116 \text{ calories per cup.}
\]

### Step 2: Find the calories in 4 cups.
Now that we know there are 116 calories per cup, we can calculate how many calories are in 4 cups:

\[
\text{Calories in 4 cups} = 116 \times 4 = 464 \text{ calories.}
\]

### Final Answer:
- **Unit rate:** 116 calories per cup.
- **Calories in 4 cups:** 464 calories.

Would you like more details or have any further questions?

Here are 5 related questions you could explore:
1. How would the unit rate change if the serving size was 1 cup with 87 calories?
2. What would the calorie content be for 1.5 cups of cereal?
3. How can you convert the unit rate to kilojoules if 1 calorie = 4.184 joules?
4. If a person consumes 3.5 cups, how many calories would that be?
5. How can you calculate the serving size if the total calorie intake is fixed, say 300 calories?

**Tip:** When dividing by a fraction, multiply by the reciprocal of that fraction to simplify the calculation.

A box of cereal states that there are 87 calories in a 3/4-cup serving. What is the unit rate for calories per cup? How many calories are there in 4 cups of the cereal?

Learn how to find the unit rate for calories per cup based on a 3/4-cup serving containing 87 calories, and calculate the total calories in 4 cups of cereal. Ideal for students in Grades 6-8.

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